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2002425120 = 253251390573
BaseRepresentation
bin111011101011010…
…1001010100100000
312011112220201212100
41313112221110200
513100110100440
6530410530400
7100423222053
oct16726512440
95145821770
102002425120
119383536a3
1247a736a00
1325bb16147
1414dd2aa9a
15babe1230
hex775a9520

2002425120 has 72 divisors (see below), whose sum is σ = 6833280636. Its totient is φ = 533979648.

The previous prime is 2002425109. The next prime is 2002425133. The reversal of 2002425120 is 215242002.

It can be written as a sum of positive squares in 2 ways, for example, as 2002383504 + 41616 = 44748^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×20024251202 = 8019412722414028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2002425093 and 2002425102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 693847 + ... + 696726.

Almost surely, 22002425120 is an apocalyptic number.

2002425120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002425120 is an abundant number, since it is smaller than the sum of its proper divisors (4830855516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002425120 is a wasteful number, since it uses less digits than its factorization.

2002425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390594 (or 1390583 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2002425120 is about 44748.4650016065. The cubic root of 2002425120 is about 1260.4300874935.

Adding to 2002425120 its reverse (215242002), we get a palindrome (2217667122).

The spelling of 2002425120 in words is "two billion, two million, four hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1390573 2781146 4171719 5562292 6952865 8343438 11124584 12515157 13905730 16686876 20858595 22249168 25030314 27811460 33373752 41717190 44498336 50060628 55622920 62575785 66747504 83434380 100121256 111245840 125151570 133495008 166868760 200242512 222491680 250303140 333737520 400485024 500606280 667475040 1001212560 2002425120